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Finding the Third Proportional to 61,648 and 145,480

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Solution

The third proportional to 61,648 and 145,480 is: 343,310.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,648 : 145,480 = 145,480 : x
  2. Step 2: Convert to fraction form
    61,648/145,480 = 145,480/x
  3. Step 3: Cross multiply
    61,648x = 145,480 × 145,480
  4. Step 4: Simplify right side
    61,648x = 21,164,430,400
  5. Step 5: Solve for x
    x = 21,164,430,400/61,648
  6. Step 6: Final answer
    x = 343,310.90

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.